Question

Suppose the eight committee members are ranked and the seating arrangements matter based off of rank. In how many ways can they sit in the 12 possible chairs

Answer 1

They can sit in 19,958,400 ways

Explanation:

The seating arrangements matter based off of rank, which means that we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

`P_((n,x)) = (n!)/((n-x)!)`

In this question:

8 seats from a set of 12. So

`P_((12,8)) = (12!)/((12-8)!) = 19,958,400`

They can sit in 19,958,400 ways